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6428830752 = 253271314399
BaseRepresentation
bin1011111110011000…
…00010110000100000
3121121000222102212200
411333030002300200
5101131240041002
62541532053200
7315212105541
oct57714026040
917530872780
106428830752
1127a99a8773
1212b5004200
137b5b93086
1444db5a4c8
152795e3b1c
hex17f302c20

6428830752 has 72 divisors (see below), whose sum is σ = 18539539200. Its totient is φ = 2112754560.

The previous prime is 6428830711. The next prime is 6428830753. The reversal of 6428830752 is 2570388246.

6428830752 is a `hidden beast` number, since 64 + 288 + 307 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 6428830698 and 6428830707.

It is not an unprimeable number, because it can be changed into a prime (6428830753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136752 + ... + 177647.

It is an arithmetic number, because the mean of its divisors is an integer number (257493600).

Almost surely, 26428830752 is an apocalyptic number.

It is an amenable number.

6428830752 is an abundant number, since it is smaller than the sum of its proper divisors (12110708448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6428830752 is a wasteful number, since it uses less digits than its factorization.

6428830752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314486 (or 314475 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 6428830752 is about 80179.9897231223. The cubic root of 6428830752 is about 1859.4192845464.

The spelling of 6428830752 in words is "six billion, four hundred twenty-eight million, eight hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1704 2272 2556 3408 5112 6816 10224 20448 314399 628798 943197 1257596 1886394 2515192 2829591 3772788 5030384 5659182 7545576 10060768 11318364 15091152 22322329 22636728 30182304 44644658 45273456 66966987 89289316 90546912 133933974 178578632 200900961 267867948 357157264 401801922 535735896 714314528 803603844 1071471792 1607207688 2142943584 3214415376 6428830752